yes it did (which is no bad thing, in my opinion). Aside from Under Pressure, the only other HS track to carry over was Staying Power, which was included for approx. half of The Works 1984 tour.
Put Out The Fire for the longest time was my favorite HS song. At the time it provided me with faith that my hard rocking Queen was still alive. Sure the song is rather pedestrian compared to earlier masterpieces but it holds up well on my personal Queen rockers compilation. I was disappointed that they did not play this song when I saw them in Toronto in 82.